A 0.16 kg block oscillates back and forth along a straight line on a frictionles
ID: 1893706 • Letter: A
Question
A 0.16 kg block oscillates back and forth along a straight line on a frictionless horizontal surface. Its displacement from the origin is given by the following equation.x = (8 cm)cos[(5 rad/s)t + p/2 rad)]
(a) What is the oscillation frequency?
Hz
(b) What is the maximum speed acquired by the block?
cm/s
At what value of x does this occur?
cm
(c) What is the magnitude of the maximum acceleration of the block?
cm/s2
At what values of x does this occur? (Type your answers in any order. If there is only one answer, type 'none' in the second box.)
cm
cm
(d) What force, applied to the block, results in the given oscillation?
( N/cm)x
Explanation / Answer
a.w=5 2pie*f=5 f=0.8/sec b.max speed=8*5=40cm/sec occurs at x=0cm c.max accelaration=Aw2=8*5*5=2m/s2 d.Force=4cos[(5 rad/s)t + p/2 rad)]
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